Write a linear equation in the form of y = mx + b for the following table. [Click Here for Help Video] x y 4 -7 8 -21 12 -35(10 points) The equation from the table is: y= x+
x y
4 -7
8 -21
12 -35
To find the slope (m) of the linear equation, we use the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (4, -7) and (8, -21) from the table:
m = (-21 - (-7)) / (8 - 4)
m = (-21 + 7) / 4
m = -14 / 4
m = -7/2
Now that we have the slope (m), we can find the y-intercept (b) using the formula:
y = mx + b
Using the point (4, -7) and the slope m = -7/2:
-7 = (-7/2)(4) + b
-7 = -14 + b
b = -7 + 14
b = 7
Therefore, the linear equation in the form of y = mx + b is:
y = (-7/2)x + 7